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KonstantinChe [14]
3 years ago
12

If y varies directly with x, write an equation for the direct variation. Then find each value.

Mathematics
1 answer:
Viktor [21]3 years ago
6 0
1)
y = kx
-12 = k(9)
k = -4/3

y = (-4/3)(-4)
y = 16/3

2)
y = kx
8 = 20k
k = 2/5

y = (2/5)(10)
y = 4


3)
y= kx
-6 = k(-14)
k = 3/7

-4 = (3/7)x
-4(7/3) = x
x = -28/3
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Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=(x+8)^2−1
BartSMP [9]

Answer:

zeroes: x = -9 and x = -7

Step-by-step explanation:

f(x)=(x+8)^2−1

A "zero" refers to when the y-value on the graph is zero.

0 = (x+8)^2 - 1

1 = (x+8)^2

+ or - 1 = x+8

so break them apart into two equations

x+8 = 1  OR  x+8 = -1

x = -7  OR  x = -9

You can plug both back in to check that the equation works!

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3 years ago
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Which espression is equivalent to 7^(-2)*7^(6)
valina [46]

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Step-by-step explanation:

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An equation and the steps to solve it are shown below:
Elan Coil [88]
Hello,

2x - one over four of (12x + 4) = 3
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2x-1/4 *(12x+4)=3
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And here, Mehek are there sufficients explanations?


4 0
3 years ago
Read 2 more answers
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r
crimeas [40]

Option C: (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as y-4

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

Thus, it can be written as x-3

Thus, the translation is given by

(x, y) \rightarrow(x-3, y-4)

The vertices of C after translation can be determined by

(8, 3) \rightarrow(8-3, 3-4)\implies (5,-1)

Thus, (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Hence, Option C is the correct answer.

3 0
3 years ago
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